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Finding the Third Proportional to 569,724 and 902,154

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Solution

The third proportional to 569,724 and 902,154 is: 1,428,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,724 : 902,154 = 902,154 : x
  2. Step 2: Convert to fraction form
    569,724/902,154 = 902,154/x
  3. Step 3: Cross multiply
    569,724x = 902,154 × 902,154
  4. Step 4: Simplify right side
    569,724x = 813,881,839,716
  5. Step 5: Solve for x
    x = 813,881,839,716/569,724
  6. Step 6: Final answer
    x = 1,428,554.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.